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Zbl 0652.90054
Bielecki, T.; Kumar, P.R.
Optimality of zero-inventory policies for unreliable manufacturing systems.
(English)
[J] Oper. Res. 36, No.4, 532-541 (1988). ISSN 0030-364X

We show that there are ranges of parameter values describing an unreliable manufacturing system for which zero-inventory policies are exactly optimal even when there is uncertainty in manufacturing capacity. This result may be initially surprising since it runs counter to the argument that inventories are buffers against uncertainty and therefore one must strive to maintain a strictly positive inventory as long as there is any uncertainty. However, there is a deeper reason why this argument does not hold, and why a zero-inventory policy can be optimal even in the presence of uncertainty. This provable optimality reinforces the case for zero-inventory policies, which is currently made on the separate grounds that it enforces a healthy discipline on the entire manufacturing process.
MSC 2000:
*90B30 Production models
90B05 Inventory management

Keywords: unreliable manufacturing system; zero-inventory policies; uncertainty in manufacturing capacity

Cited in: Zbl 0957.90007 Zbl 0833.90062

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Highlights
Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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